Gérsica Freitas

collaborators

2 papers

math.NT2022

On the Sequences of $(q, k)$ -Generalized Fibonacci Numbers

Gérsica Freitas, Alessandra Kreutz, Jean Lelis +1

In this paper, we consider the new family of recurrence sequences of $(q, k)$ -generalized Fibonacci numbers. These sequences naturally extend the well-known sequences of $k$ -general…

math.NT2022

A Jacobi Symbol Criterion Involving $k$ -Fibonacci and $k$ -Lucas numbers and Integer Points on Elliptic Curves

Gérsica Freitas, Jean Lelis, Elaine Silva

In 1989, Ming Luo \cite{L2} showed that the Fibonacci number $U_{n}$ is Triangular if and only if $n = \pm 1, 2, 4, 8, 10$ . For this, he established a Jacobi Symbol Criterion. Moreover, he…

On the Sequences of (q,k)-Generalized Fibonacci Numbers

A Jacobi Symbol Criterion Involving k-Fibonacci and k-Lucas numbers and Integer Points on Elliptic Curves

On the Sequences of $(q, k)$ -Generalized Fibonacci Numbers

A Jacobi Symbol Criterion Involving $k$ -Fibonacci and $k$ -Lucas numbers and Integer Points on Elliptic Curves